Research on the chiral phase transition and hadron properties in QCD at finite temperature and density

1.基于矢量表现（VM）的分析我提出了VM，其中π和p介子在热和/或稠密QCD中的手性相变点附近成为手性伙伴。我进行了以下分析来实验测试VM。（1）我证明基于VM的模型再现了新发现的D介子的质量。（2）基于VM，我研究了双轻子谱，包括违反矢量优势的影响。结果表明，预测谱小于矢量优势模型的预测谱。 2．构建包括 π、p 和 a_1 介子的新有效场论 (EFT) 我构建了一个新的 EFT，其中除了 π 和 p 介子之外还包括 a_1 介子。我证明了 p 和 a_1 的质量在手性相变点附近都变轻了。3。在 AdS/QCD 模型中包含系统校正的方法的建议我提出了在 AdS/QCD 模式中包含系统校正的方法。我证明了预测很好地重现了实验。 4． φ介子的辐射衰变分析需要澄清真实QCD中标量介子的性质，以构建新的有效的手性相变点附近标量介子模型。对φ辐射衰变进行了分析，表明我们的模型的预测优于其他模型。 5．大风味 QCDI 中的手性相变分析使用 Schwinger-Dyson 方程和 Bethe-Salpeter 方程对大风味 QCD 进行了分析。我首先展示了现实生活中 QCD 中 π^ 和 π^0 之间的质量差异。然后，我表明质量差在大风味 QCD 的手性相变点附近增加。

1. Analysis based on the vector manifestation (VM)I proposed the VM, in which the π and p meson becomes the chiral partner near the chiral phase transition point in hot and/or dense QCD. I performed the following analyses to test the VM experimentally.(1) I showed that the model based on the VM reproduces the mass of newly found D meson.(2) Based on the VM, I studied the dilepton spectrum including the effect of violation of vector dominance. I showed that the predicted spectrum is smaller than the one by the model with the vector dominance.2. Construction of new effective field theory (EFT) including π, p and a_1 mesonsI constructed a new EFT which includes the a_1 meson in addition to π and p mesons. I showed that both masses of p and a_1become light near the chiral phase transition point.3. Proposal of a way for including systematic corrections in an AdS/QCD modelI proposed a way for including systematic corrections in a AdS/QCD mode. I showed that the prediction well reproduces the experiment.4. Analysis on the radiative decays of φ mesonIt is needed to clarify properties of scalar mesons in true-life QCD to construct a new effective model with scalar mesons near the chiral phase transition point. I made an analysis on the φ radiative decays, and showed that the prediction of our model is better than other models.5. Analysis on the chiral phase transition in large flavor QCDI performed an analysis of the large flavor QCD using the Schwinger-Dyson equation and the Bethe-Salpeter equation. I first showed that the mass difference between π^+ and π^0 in real-life QCD. Then, I showed that the mass difference is increased near the chiral phase transition point of large flavor QCD.